YOSHIDA Takahiko    Department   Undergraduate School  , School of Science and Technology    Position   Senior Assistant Professor
Research Period	2010/04～2012/03
Research Topic	Localization phenomena on indices of Dirac-type operators and singular Lagrangian fibrations
Research Type	KAKENHI Research
KAKENHI Grant No.	22740046
KAKENHI Category	Geometry
Responsibility	Representative Researcher